Judith Spitzli

515-402-8600

Judith Spitzli

515-402-8600

**Iowa Core Mathematics Documents**

- Iowa Core Mathematics (pdf)
- Iowa Core Mathematics (doc)
- Iowa Core Mathematics with DOK (pdf)
- Iowa Core Mathematics with DOK (doc)

**Iowa Core Mathematics Support** - Resources to support Iowa Core Mathematics.

- HSG-SRT.A.1
- HSG-SRT.A.2
- HSG-SRT.A.3
- HSG-SRT.B.4
- HSG-SRT.B.5
- HSG-SRT.C.6
- HSG-SRT.C.7
- HSG-SRT.C.8
- HSG-SRT.D.9
- HSG-SRT.D.10
- HSG-SRT.D.11

- HSG-SRT.A.1 Verify experimentally the properties of dilations given by a center and a scale factor:
- A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
- The dilation of a line segment is longer or shorter in the ratio given by the scale factor.

- HSG-SRT.A.2 Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.
- HSG-SRT.A.3 Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar.

- HSG-SRT.B.4 Prove theorems about triangles.
*Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity.* - HSG-SRT.B.5 Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.

- HSG-SRT.C.6 Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.
- HSG-SRT.C.7 Explain and use the relationship between the sine and cosine of complementary angles.
- HSG-SRT.C.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.
^{★}

- HSG-SRT.D.9 (+) Derive the formula
*A*= 1/2*ab*sin(C) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side. - HSG-SRT.D.10 (+) Prove the Laws of Sines and Cosines and use them to solve problems.
- HSG-SRT.D.11 (+) Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (e.g., surveying problems, resultant forces).

Printed from the **Iowa Department of Education** website on April 16, 2014 at 9:34am.